Section 2.3 Solving Systems of Linear Equations II In the previous section we studied systems with unique solutions. In this section we will study systems of linear equations that have infinitely many solutions and those that have no solution. We also will study systems in which the number of variables is not equal to the number of equations in the system. A System of Equations with an Infinite Number of Solutions Example 1: The following augmented matrix in row-reduced form is equivalent to the augmented matrix of a certain system of linear equations. Use this result to solve the system of equations. a. ⎟⎟⎟⎠⎞⎜⎜⎜⎝⎛−−000025103101b. ⎟⎟⎟⎟⎟⎠⎞⎜⎜⎜⎜⎜⎝⎛−00000211001001020001c. ⎟⎟⎟⎟⎟⎠⎞⎜⎜⎜⎜⎜⎝⎛−00000000004210031010Section 2.3 – Solving Systems of Linear Equations II 1

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